Article Dans Une Revue Journal of Number Theory Année : 2012

Arithmetic properties of q-Barnes polynomials

Résumé

By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for the generalized Hurwitz-Lerch zeta function obtained recently by Gaboury and Bayad , in this paper we present some series representations for these polynomials at rational arguments. These results provide extensions of those obtained by Apostol (1951) and by Srivastava (2000).

HAL

A comme version hal-04464163 Article Abdelmejid Bayad. Arithmetic properties of q-Barnes polynomials. Journal of Computational Analysis and Applications, 2013, 15 (1), pp.111-117. ⟨hal-04464163⟩

Dates et versions

hal-04464098 , version 1 (18-02-2024)

Identifiants

Citer

Abdelmejid Bayad, Abdelaziz Raouj. Arithmetic properties of q-Barnes polynomials. Journal of Number Theory, 2012, 132 (8), pp.1645-1652. ⟨10.1016/j.jnt.2012.01.014⟩. ⟨hal-04464098⟩
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